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Finding the Fourth Proportional to 2,085.98, 3,114.03 and 1,940.18

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Solution

The fourth proportional to 2,085.98, 3,114.03 and 1,940.18 is: 2,896.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.98 : 3,114.03 = 1,940.18 : x
  2. Step 2: Convert to fraction form
    2,085.98/3,114.03 = 1,940.18/x
  3. Step 3: Cross multiply
    2,085.98x = 3,114.03 × 1,940.18
  4. Step 4: Simplify right side
    2,085.98x = 6,041,769.02
  5. Step 5: Solve for x
    x = 6,041,769.02/2,085.98
  6. Step 6: Final answer
    x = 2,896.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.